Comments (7)
MikaelSlevinsky
commented on June 16, 2024
4
All contributions welcome! No reasonable pull request left behind.
Cheers,
Mikael
On Jun 10, 2018, at 9:25 AM, Alex Townsend <[email protected]<mailto:[email protected]>> wrote:
Back in September 2017, I was thinking about translating the transforms that I wrote in MATLAB:
https://github.com/ajt60gaibb/FastAsyTransforms
The algorithms in the GNU package are not optimal complexity and could be improved.
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ajt60gaibb
commented on June 16, 2024
2
Do you want the Bessel-Fourier transform?
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ajt60gaibb
commented on June 16, 2024
1
Back in September 2017, I was thinking about translating the transforms that I wrote in MATLAB:
https://github.com/ajt60gaibb/FastAsyTransforms
The algorithms in the GNU package are not optimal complexity and could be improved.
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MikaelSlevinsky
commented on June 16, 2024
Sure!
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marcusdavidwebb
commented on June 16, 2024
We discussed last year that the connection coefficients matrix between Bessel polynomials of different parameters is diagonally scaled Toeplitz-dot-Hankel, but decided in the end not to put it in the Fast Polynomials Transforms paper. Not sure if that Hankel matrix is positive definite or not.
See prop 5.1 of https://cmup.fc.up.pt/main/sites/default/files/publications/ConnectionCoefficients_CMUP_3.pdf <https://cmup.fc.up.pt/main/sites/default/files/publications/ConnectionCoefficients_CMUP_3.pdf>
Marcus
… On 13 Sep 2017, at 20:41, Richard Mikael Slevinsky ***@***.***> wrote:
Sure!
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MikaelSlevinsky
commented on June 16, 2024
Yeah it looks like the reverse Bessel polynomials are related to generalized Laguerre polynomials whose orders are related to the degree... not sure which approximation space they're designed for.
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AshtonSBradley
commented on June 16, 2024
there is this for discrete Hankel
https://www.gnu.org/software/gsl/doc/html/dht.html
but it would be great to have a Bessel-Fourier as part of FastTransforms.jl
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